Supersymmetric Calogero models by gauging

Abstract

New superconformal extensions of d=1 Calogero-type systems are obtained by gauging the U(n) isometry of matrix superfield models. We consider the cases of N=1, N=2 and N=4 one-dimensional supersymmetries. The bosonic core of the N=1 and N=2 models is the standard conformal A_{n-1} Calogero system, whereas the N=4 model is an extension of the U(2)-spin Calogero system.

5 pages; v2: minor clarifications, refs. added, version published in PRD

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Cited by in corpus (72)

• Superconformal mechanics
• New D(2,1;alpha) Mechanics with Spin Variables
• N = 4 mechanics of general (4, 4, 0) multiplets
• N=4 mechanics, WDVV equations and roots
• Many-particle mechanics with D(2,1;alpha) superconformal symmetry
• SQM with Non-Abelian Self-Dual Fields: Harmonic Superspace Description
• Remark on quantum mechanics with N=2 Schrodinger supersymmetry
• The spherical sector of the Calogero model as a reduced matrix model
• Gauge Fields, Nonlinear Realizations, Supersymmetry
• Potentials in N=4 superconformal mechanics
• N=4 superconformal n-particle mechanics via superspace
• Biharmonic Superspace for N=4 Mechanics
• $\mathcal{N}$-extended supersymmetric Calogero models
• Supersymmetric hyperbolic Calogero-Sutherland models by gauging
• Runge-Lenz vector in Calogero-Coulomb problem
• Quantum SU(2$|$1) supersymmetric Calogero-Moser spinning systems
• Harmonic N=2 Mechanics
• SU(2) reduction in N=4 supersymmetric mechanics
• Supersymmetric many-body Euler-Calogero-Moser model
• SU(2|2) supersymmetric mechanics
• Gauged spinning models with deformed supersymmetry
• New potentials for conformal mechanics
• N=4, 3D Supersymmetric Quantum Mechanics in Non-Abelian Monopole Background
• Three dimensional N=4 supersymmetric mechanics with Wu-Yang monopole
• Extended supersymmetric Calogero model
• SU(2|1) mechanics and harmonic superspace
• Membrane Quantum Mechanics
• N=4 Supersymmetry and the BPST Instanton
• N=4 Multi-Particle Mechanics, WDVV Equation and Roots
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• The structure of invariants in conformal mechanics
• Dynamical supersymmetry of spin particle-magnetic field interaction
• N=4 Supersymmetric Landau Models
• Taming the zoo of supersymmetric quantum mechanical models
• Ruijsenaars-Schneider three-body models with N=2 supersymmetry
• New realizations of the supergroup D(2,1;α) in N=4 superconformal mechanics
• Deformed supersymmetric quantum mechanics with spin variables
• $\mathcal{N}=4$ supersymmetric mechanics on curved spaces
• Multiparticle $\mathcal{N}=8$ mechanics with $F(4)$ superconformal symmetry
• SU(2$|$1) supersymmetric mechanics on curved spaces
• Minimal unitary representation of D(2,1;λ) and its SU(2) deformations and d=1, N=4 superconformal models
• Supersymmetric Extension of Hopf Maps: N=4 sigma-models and the S^3 -> S^2 Fibration
• Conformal mechanics
• Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions
• Superconformal Quantum Mechanics from M2-branes
• Generic HKT geometries in the harmonic superspace approach
• $\mathcal{N}=4$ supersymmetric Calogero-Sutherland models
• $\mathcal{N}=2$ supersymmetric hyperbolic Calogero-Sutherland model
• N=4 chiral supermultiplet interacting with a magnetic field
• Harmonic Superfields in N=4 Supersymmetric Quantum Mechanics
• Remarks on N=1 supersymmetric extension of the Euler top
• Supersymmetric V-systems
• N=8 superconformal mechanics: direct construction
• Dual multiplets in N=4 superconformal mechanics
• New Super Calogero Models and OSp(4|2) Superconformal Mechanics
• Superfield approach to higher derivative N=1 superconformal mechanics
• The curved WDVV equations and superfields
• Bi-HKT and bi-Kaehler supersymmetric sigma models
• Symmetries of deformed supersymmetric mechanics on Kähler manifolds
• $SU(1,1|N)$ superconformal mechanics with fermionic gauge symmetry
• Hidden symmetries of deformed oscillators
• SU$(2|1)$ supersymmetric spinning models of chiral superfields
• The N = 1 Supersymmetric Wong Equations and the Non-Abelian Landau Problem
• On $OSp(N|2)$ superconformal mechanics
• N=4, d=1 Supersymmetric Hyper-Kaehler Sigma Models with Isospin Variables
• SU(2) reductions in N=4 multidimensional supersymmetric mechanics
• Spinning particles on 2-sphere in accord with the Bianchi classification
• $\mathcal{N}=4$ supersymmetric $\mathrm{U}(2)$-spin hyperbolic Calogero-Sutherland model
• Supersymmetric Calogero models from superfield gauging
• Integrability of supersymmetric Calogero-Moser models
• Conformal mechanical treatment of Calogero-Moser model and infinite dimensional Lie algebra of conformal Galilei type
• Relativistic generalization of the rational Calogero model